We report resistivity and Hall effect measurements in electron-doped Pr2−xCexCuO 4−δ films in magnetic field up to 58 T. In contrast to hole-doped cuprates, we find a surprising non-linear magnetic field dependence of Hall resistivity at high field in the optimally doped and overdoped films. We also observe a crossover from quadratic to linear field dependence of the positive magnetoresistance in the overdoped films. A spin density wave induced Fermi surface reconstruction model can be used to qualitatively explain both the Hall effect and magnetoresistance.PACS numbers: 74.25. Fy, 71.10.Hf, 73.43.Nq, Electron-doped (n-doped) cuprate superconductors have exhibited enough similarities with their hole-doped (p-doped) high-T c counterparts so that any eventual rationalization of the phenomenon of high temperature superconductivity (SC) would have to treat both poles of the doping spectrum in the similar manner. Some of the key phenomena realized in both types of high-T c compounds, such as the competition between antiferromagnetism(AFM) and SC or the anomalous temperature dependence of the transport coefficients, pose challenging questions for the condensed matter physics. Meanwhile, a number of studies in the past years have identified distinct differences in the properties of n-doped and p-doped cuprates. Understanding the causes of the differences and similarities may lead to understanding of the phenomenon of high temperature superconductivity. Among the distinctive properties, angle resolved photoemission spectroscopy (ARPES) experiments [1, 2, 3] in n-doped cuprates have revealed a small electron-like Fermi surface (FS) pocket at (π, 0) in the underdoped region, and a simultaneous presence of both electron-and hole-like pockets near optimal doping. This clarifies the longstanding puzzle that transport in these materials exhibits unambiguous n-type carrier behavior at low-doping, and two-carrier behavior near optimal doping [4,5,6,7]. Recent low temperature normal state Hall effect measurements [8] on Pr 2−x Ce x CuO 4−δ (PCCO) show a sharp kink of the Hall coefficient at a critical doping x =0.16, which suggests a quantum phase transition (QPT) at this doping. Early µSR measurements found that the AFM phase starts at x =0 and persists up to, or into, the SC dome [9]. Neutron scattering experiments [10] show an AFM phase above critical field in an optimally doped n-type cuprates, but no such phase on the overdoped side. Optical conductivity experiments [11] reveal a partial normal state gap opening at a certain temperature in the underdoped region, but no such gap is found above the critical doping. A spin density wave (SDW) model [12,13] was proposed, which gives a plausible, but qualitative, explanation to these observations. In this model, SDW ordering would induce a Fermi surface (FS) reconstruction and result in an evolution from an electron pocket to the coexistence of electron-and hole-like pockets with increasing doping, and eventually into a single hole-like FS. The SDW gap amplitude decreases from th...